Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Test - Page 709: 14


$\{0, \frac{\pi}{3}, \frac{5\pi}{3} \}$

Work Step by Step

Step 1. Let $u=cos(x)$, we have $2u^2-3u+1=0$ or $(2u-1)(u-1)=0$ Step 2. For $u=1$ or $cos(x)=1$, we have $x=0$ Step 3. For $u=\frac{1}{2}$ or $cos(x)=\frac{1}{2}$, we have $x=\frac{\pi}{3}, \frac{5\pi}{3}$ Step 4. We have the solution set as $\{0, \frac{\pi}{3}, \frac{5\pi}{3} \}$
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